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Finding the Third Proportional to 80,577,168 and 172,641,168

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Solution

The third proportional to 80,577,168 and 172,641,168 is: 369,893,527.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,577,168 : 172,641,168 = 172,641,168 : x
  2. Step 2: Convert to fraction form
    80,577,168/172,641,168 = 172,641,168/x
  3. Step 3: Cross multiply
    80,577,168x = 172,641,168 × 172,641,168
  4. Step 4: Simplify right side
    80,577,168x = 29,804,972,888,404,224
  5. Step 5: Solve for x
    x = 29,804,972,888,404,224/80,577,168
  6. Step 6: Final answer
    x = 369,893,527.26

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.